Arie Israel

activity

20102023

most citedThe Eigenvalue Distribution of Time-Frequency Localization Operators

7 citations · 20 across the 12 of their papers we have counts for

collaborators

16 papers

math.CA2023

On the Eigenvalue Distribution of Spatio-Spectral Limiting Operators in Higher Dimensions

Arie Israel, Azita Mayeli

Prolate spheroidal wave functions are an orthogonal family of bandlimited functions on $R$ that have the highest concentration within a specific time interval. They are al…

math.OC2022★ 2 cited

On-the-fly control of unknown nonlinear systems with sublinear regret

Abraham P. Vinod, Arie Israel, Ufuk Topcu

We study the problem of data-driven, constrained control of unknown nonlinear dynamics from a single ongoing and finite-horizon trajectory. We consider a one-step optimal control p…

math.FA2021

The norm of linear extension operators for $C^{m - 1, 1} (R^{n})$

Jacob Carruth, Abraham Frei-Pearson, Arie Israel

Fix integers $m \geq 2$ , $n \geq 1$ . We prove the existence of a bounded linear extension operator for $C^{m - 1, 1} (R^{n})$ with operator norm at most $exp (γ D^{k})$ , where $D := \binom{m+n…

math.OC2020★ 1 cited

Constrained, Global Optimization of Functions with Lipschitz Continuous Gradients

Abraham P. Vinod, Arie Israel, Ufuk Topcu

We present two first-order, sequential optimization algorithms to solve constrained optimization problems. We consider a black-box setting with a priori unknown, non-convex objecti…

math.CA2018

A coordinate-free proof of the finiteness principle for the Whitney extension problem

Jacob Carruth, Abraham Frei-Pearson, Arie Israel +1

We present a coordinate-free version of Fefferman's solution of Whitney's extension problem in the space $C^{m - 1, 1} (R^{n})$ . While the original argument relies on an elabora…

math.OC2018★ 5 cited

Controller Synthesis for Safety of Physically-Viable Data-Driven Models

Mohamadreza Ahmadi, Arie Israel, Ufuk Topcu

We consider the problem of designing finite-horizon safe controllers for a dynamical system for which no explicit analytical model exists and limited data only along a single traje…

math.OC2017

Control-Oriented Learning on the Fly

Melkior Ornik, Arie Israel, Ufuk Topcu

This paper focuses on developing a strategy for control of systems whose dynamics are almost entirely unknown. This situation arises naturally in a scenario where a system undergoe…

math.CA2016

Interpolation of data by smooth non-negative functions

Charles Fefferman, Arie Israel, Garving K. Luli

We prove a finiteness principle for interpolation of data by nonnegative Cm functions. Our result raises the hope that one can start to understand constrained interpolation problem…

math.FA2016★ 1 cited

Finitness Principles for Smooth Selection

Charles Fefferman, Arie Israel, Garving K. Luli

In this paper we prove finiteness principles for $C^{m} (R^{n}, R^{D})$ -selection, and for $C^{m - 1, 1} (R^{n}, R^{D})$ -se…

math.CA2015

Finiteness Principles for Smooth Selection

Charles Fefferman, Arie Israel, Garving K. Luli

In this paper we prove finiteness principles for $C^{m} (R^{n}, R^{D})$ -selection, and for $C^{m - 1, 1} (R^{n}, R^{D})$ -se…

math.CA2015★ 7 cited

The Eigenvalue Distribution of Time-Frequency Localization Operators

Arie Israel

We estimate the distribution of the eigenvalues of a family of time-frequency localization operators whose eigenfunctions are the well-known Prolate Spheroidal Wave Functions from…

math.CA2014★ 1 cited

Fitting a Sobolev function to data

Charles L. Fefferman, Arie Israel, Garving K. Luli

We exhibit an algorithm to solve the following extension problem: Given a finite set $E \subset R^{n}$ and a function $f : E \to R$ , compute an extension $F$ …

math.SP2014

An arithmetic-geometric mean inequality for products of three matrices

Arie Israel, Felix Krahmer, Rachel Ward

Consider the following noncommutative arithmetic-geometric mean inequality: given positive-semidefinite matrices $A_{1}, \dots, A_{n}$ , the following holds for each i…

math.CA2012

The Structure of Sobolev Extension Operators

Charles L. Fefferman, Arie Israel, Garving K. Luli

Let $L^{m, p} (R^{n})$ denote the Sobolev space of functions whose $m$ -th derivatives lie in $L^{p} (R^{n})$ , and assume that $p > n$ . For $E \subset R^{n}$ , denote by $L^{m, p} (E)$ the space…

math.CA2012★ 3 cited

Sobolev Extension By Linear Operators

Charles L. Fefferman, Arie Israel, Garving K. Luli

Let $L^{m, p} (R^{n})$ be the Sobolev space of functions with $m^{t h}$ derivatives lying in $L^{p} (R^{n})$ . Assume that $n < p < \infty$ . For $E \subset R^{n}$ , let $L^{m, p} (E)$ denote the…

math.CA2010

A Bounded Linear Extension Operator for $L^{2, p} (R^{2})$

Arie Israel

For a finite $E \subset R^{2}$ , $f : E \to R$ , and $p > 2$ , we produce a continuous $F : R^{2} \to R$ depending linearly on $f$ , taking the same values as $f$ on $E$ , and…

On the Eigenvalue Distribution of Spatio-Spectral Limiting Operators in Higher Dimensions

On-the-fly control of unknown nonlinear systems with sublinear regret

The norm of linear extension operators for Cm−1,1(Rn)

Constrained, Global Optimization of Functions with Lipschitz Continuous Gradients

A coordinate-free proof of the finiteness principle for the Whitney extension problem

Controller Synthesis for Safety of Physically-Viable Data-Driven Models

Control-Oriented Learning on the Fly

Interpolation of data by smooth non-negative functions

Finitness Principles for Smooth Selection

Finiteness Principles for Smooth Selection

The Eigenvalue Distribution of Time-Frequency Localization Operators

Fitting a Sobolev function to data

An arithmetic-geometric mean inequality for products of three matrices

The Structure of Sobolev Extension Operators

Sobolev Extension By Linear Operators

A Bounded Linear Extension Operator for L2,p(R2)

The norm of linear extension operators for $C^{m - 1, 1} (R^{n})$

A Bounded Linear Extension Operator for $L^{2, p} (R^{2})$